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人気のある微分積分 >

integral from 2 to 3 of (8x^3+3x^2+6x)

解

\int_{2}^{3} (8 x^{3} + 3 x^{2} + 6 x) d x

解

164

解答ステップ

\int_{2}^{3} 8 x^{3} + 3 x^{2} + 6 x d x

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{2}^{3} 8 x^{3} d x + \int_{2}^{3} 3 x^{2} d x + \int_{2}^{3} 6 x d x

\int_{2}^{3} 8 x^{3} d x = 130

\int_{2}^{3} 3 x^{2} d x = 19

\int_{2}^{3} 6 x d x = 15

= 130 + 19 + 15

簡素化

= 164

グラフ

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